Ratio?
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The ball will hit the ground after 2.355 secs

The velocity of an object the change of displacement with respect to time.

Given the function that represents the height of football ground

h(t) = -16t^2+36t+4

The ball will hit the ground at the point where the height h(t) = 0

Substitute

-16t^2+36t+4 = 0

16t^2-36t-4 =0

4t^2-9t-1= 0

Factorize

t = 9/8 + √97/8

t = 9/8 + 1.23

t = 2.355secs

Hence the ball will hit the ground after 2.355 secs

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The diagram to represent the possible cases for common tangents between two circles is as shown in the attachment.

A tangent line to a circle is defined as a line that touches the circle at exactly one point, never entering the circle's interior.

Thus, the diagram to represent the possible cases for common tangents between two circles are as attached below.

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The general form of the given equation is 3x-y=0.

The given equation is [tex]x=\frac{1}{3}y[/tex].

We need to write the given equation in a general form.

The general form of any equation contains the degree of variables in decreasing order. The general form of a linear equation is ax + b = 0.

That is, [tex]3x=y[/tex]

[tex]3x-y=0[/tex].

Hence, the general form of the given equation is 3x-y=0.

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first know it in a simple way

that,3-1=2 right so if we add base and numbers in power , because it has same base when x i.e x to the power 1 goes up

Step-by-step explanation:

x^3/x^1

now

x^3 *x^-1

x^3-1

x^2

proved

Answer:

The slope is 3

Step-by-step explanation:

it is 3 up and 1 across, which is 3/1 = 3

Answer:

3

Step-by-step explanation:

Look at the two lower dots shown on the line.

slope = rise/run

The vertical distance from the lower point to the higher point is 3. That is the rise.

The horizontal distance from the lower point to the higher point is 1. That is the run.

slope = 3/1 = 3

Answer: 3

The value of the given 2 digits number when the tens place digit is x write in terms of x is; 10x + y

We are given that the sum of a two digit number is 5.

Now, if the number is xy, then we can say that;

x + y = 5

Since x is the tens place digit, then we can say that the value of x is 10x and as such the value of the 2 digits is written as;

10x + y

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95% confidence interval is 1.96

A confidence interval is defined as the range of values that we observe in our sample and for which we expect to find the value that accurately reflects the population.

For 95% confidence interval, we will keep 95% area in the center and will divide the remaining area equally on both sides.

From Standard Normal table,  P(-1.96 < Z < 1.96) = 0.95, i.e., there is a 95% probability that a standard normal variable, Z, will fall between -1.96 and 1.96.

Hence 95% percent confidence interval is 1.96

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Answer:  

Step-by-step explanation:

you take 30% and 10% and turn them into decimal like so:

30/100=0.3

10/100=0.1

400.00(0.3)=120.00

120(0.1)=12

The graph of the logarithmic function that passes through (-2,-2) and (1,0) is [tex]\log_2(x+3)-2[/tex].

Suppose that the function is

[tex]f(x)=\log_2(x+c)+d[/tex]

Then there are two observations that we must consider from the figure

So,

[tex]-2=\log_2(-2+c)+d[/tex]

[tex]\implies -2+c=e^{-2-d} ...~...~(1)[/tex]

And,

[tex]0=\log_2(1+c)+d\\\implies 1+c=e^{-d} ~...~...~(2)[/tex]

Observe the figure given below we see that the graph of

[tex]\log_2(x)[/tex] passes through (1,0) but does not pass through (-2,-2) and the graph is to the right of (-2,-2) hence, we need the graph to move left.

When we increase c the graph  [tex]\log_2(x+c)+d[/tex]  moves left and

When we decrease d then the graph  [tex]\log_2(x+c)+d[/tex]  moves down.

That makes the graph required to be   [tex]\log_2(x+3)-2[/tex].

Hence, the graph of the logarithmic function that passes through (-2,-2) and (1,0) is [tex]\log_2(x+3)-2[/tex].

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Answer:

3/4

Step-by-step explanation:

The total number of children is 8 and the number of girls is 6. This can be represented as 6/8.

You would then need to simplify...

6/2=3

8/2=4

which which lead you to 3/4!

Answer:

A cylinder's volume is π r² h, and its surface area is 2π r h + 2π r².

Hello,

g(x) = x² - 5x

g(-3) = (-3)² - 5 × 3 = 9 - 15 = - 6 ≠ 24 ⇒ not correct

g(-1) = (-1)² - 5 × (-1) = 1 - 5 = -4 ⇒ correct

g(5) = 5² - 5× 5 = 25 - 25 = 0 ⇒ correct

g(7) = 7² - 5 × 7 = 49 - 35 = 14 ⇒ correct

Answer:

4a

Step-by-step explanation:

-8 / -2 = 4

a^8/a^7 = a^(8 - 7) = a

Answer: 4a

The number of white rabbits that are at the farm is 60

From the question, we are to determine the number of white rabbits that are at the farm

From the given information,

There are 210 rabbits at the farm

and

For every 5 gray rabbits, there are 2 white rabbits

Then, we can write that

5x + 2x = 210

Where x is the number of groups of 5 gray rabbits and 2 white rabbits

Then,

7x = 210

x = 210/7

x = 30

The number of white rabbits is 2x

∴ Number of white rabbits = 2×30

Number of white rabbits = 60

Hence, the number of white rabbits that are at the farm is 60

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Since in each option, each input is mapped to only one output, all the options are correct.

A relationship represents a function when each input is mapped to only one output.

In this problem:

Thus all the options are correct.

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[tex]\left(\sqrt{z^{2}+8} \right)^{2}=(1-2z)^{2}\\\\z^{2}+8=4z^{2}-4z+1\\\\0=3z^{2}-4z-7\\\\0=(z+1)(3z-7)\\\\z=-1, z=\frac{7}{3}[/tex]

We know that if z=7/3, the right-hand side will be negative, which means it is an extraneous solution as square roots cannot be negative.

Answer:

Step-by-step explanation:

Big clever stuff 100 men in 1 second tick tick boom

User-generated content is the idea that you can empower players to seamlessly generate new content to a game continuously to keep the game fresh.

User-generated content (also known as UGC or consumer-generated content material) is original, emblem-particular content material created by customers and published on social media or other channels. UGC comes in many paperwork, inclusive of photos, films, opinions, a testimonial, or even a podcast.

User-generated content (UGC) has become an essential part of the content material advertising method within the present day era in which customers are prepared to rave about your products or services online. UGC refers to the content this is created through the users of a logo.

Types of User-Generated Content

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Answer:

d. vertical line

Step-by-step explanation:

A line with an undefined slope is a vertical line

Slope is the change in y over the change in x

When the slope is undefined, it means that the x does not change, which is a vertical line

Answer:

Line D

Step-by-step explanation:

Slope is defined as rise/run. Since a vertical line has zero run and infinite rise the equation is infinity/0 and anything divided by zero is undefined.

Answer:

Area = 84.8 cm²

Step-by-step explanation:

It appears that the line BO is equal to the radius. It also looks like the missing region is equal to 1/4 of the entire area. Therefore, to find the area of the shaded region, you need to (1) find the area of the entire circle and then (2) find the area of 3/4 of the circle.

Area of Circle:

r = 6 cm

A = πr²

A = π(6 cm)²

A = π(36 cm²)

A = 113 cm²

Area of Shaded Region:

Area (Entire Circle) x 3/4 = Area (Shaded Region)

113 cm² x 3/4 = 84.8 cm²

5000 square feet is the largest area that can be enclosed

It is given that a rectangular plot is to be fenced off and divided into three parts/plots on land that borders a barn there are and there is 200 feet of fence that is available.

One-fourth of the perimeter = 50

The other width also equals 50.

So the length of fencing = 200 - 50 - 50 = 100

So the area = 50 x 100 = 5000 square feet.

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Answer:

The product is the difference of squares is [tex]$$\left(5-3x\right)\left(5+3x\right)=25-9{{x}^2}$$[/tex]

Step-by-step explanation:

Explanation

[tex]$$\begin{aligned}&(5-3 x)(5+3 x)=(5)^{2}-(3 x)^{2} \\&(5-3 x)(5+3 x)=25-9 x^{2}\end{aligned}$$[/tex]

The price of one pill is approximately $0.04.

Division is the mathematical operation used in grouping a number into equal parts using another number. The price of one pill can be determined by dividing the total cost of a number of pills by that number.

Price of one pill = cost of 50 pills / 50

$2.05 / 50 = $0.04

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Answer:

Law of large Numbers

Step-by-step explanation:

The Law of large numbers.

The law of large numbers plays the main role in probability and statistics. It means that if you repeat an experiment independently so many times and average the result, what you get has to be close to the expected value.

An example of the Law of Large Numbers:

Let's assume that you rolled the dice three times and the outcomes were 6, 6, and 3. Then the average result is 5.

So, according to the law of the large numbers, if we roll the dice a large no. of times, then the average result should be closer to the expected value.

It also states that probability and statistics set a sample size that grows, and the mean of the sample size gets closer to the average of the entire population.

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Answer:

32

Step-by-step explanation:

YZ = ⅗XY.

XY = 20

20 / 5 x 3 = 12

YZ = 12

XZ = YZ + XY

XZ = 20 + 12

XZ = 32

Work is attached. Hope it helps!